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| 摘要: |
| 本文研究了构造了广义KdV方程和广义KP-Burgers方程等几种广义非线性发展方程的新解的问题.利用三种辅助方程及其新解,获得了广义KdV方程和广义KP-Burgers方程等几种广义非线性发展方程的新解.这些解由双曲余割函数、双曲正切函数、双曲正割函数、双曲余切函数和余割函数组成. |
| 关键词: 辅助方程 广义KdV方程 广义KP-Burgers方程 |
| DOI： |
| 分类号:O175.29 |
| 基金项目:国家自然科学基金资助(11361040);内蒙古自治区高等学校科学研究基金资助(NJZY12031);内蒙古自治区自然科学基金资助(2015MS0128). |
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| THE NEW SOLUTIONS OF SOME KINDS OF GENERALIZED NONLINEAR EVOLUTION EQUATIONS |
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LI Ning,Taogetusang
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| Abstract: |
| In this paper, we study the problem of constructing the new solutions of the generalized KdV equation, the generalized KP-Burgers equation and some other kinds of generalized nonlinear evolution equations. By using three kinds of auxiliary equations and their new solutions, the new solutions of generalized KdV equation, generalized KP-Burgers equation and some other kinds of generalized nonlinear evolution equations are constructed. These solutions are consisting of hyperbolic cosecant function, hyperbolic tangent function, hyperbolic secant function, hyperbolic cotangent function and cosecant function. |
| Key words: auxiliary equation generalized KdV equation generalized KP-Burgers equation |
